Analysis of xx-mith-te3-00058934-base.sdk
Contents
Original Sudoku
level: hard
position: 1.3.567....7..9......37.1.....69.5...7......4.16....28..1......6.59...3.79..63..1 initial
Autosolve
position: 1.3.567....7..9......37.1.....69.5...7......4.16....28..1......6.59...3.79..63..1 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # G5: 3,9 => CTR => G5: 6 * DIS # I7: 2,7 => CTR => I7: 5,6,9 * CNT 2 HDP CHAINS / 16 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # G5: 3,9 => CTR => G5: 6 * DIS G5: 6 # I7: 2,7 => CTR => I7: 5,6,9 * STA G5: 6 + I7: 5,6,9 * CNT 2 HDP CHAINS / 24 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 1.3.567....7..9......37.1.....69.5...7....6.4.16....28..1......6.59...3.79..63..1 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:03.651494
The following important HDP chains were detected:
* PRF # H2: 5,6 # A3: 4,8 => SOL * STA # H2: 5,6 + A3: 4,8 * CNT 1 HDP CHAINS / 13 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1.3.567....7..9......37.1.....69.5...7......4.16....28..1......6.59...3.79..63..1 | initial |
| 1.3.567....7..9......37.1.....69.5...7......4.16....28..1......6.59...3.79..63..1 | autosolve |
| 1.3.567....7..9......37.1.....69.5...7....6.4.16....28..1......6.59...3.79..63..1 | pair_reduction |
| 123456789457189263869372145234698517578231694916745328381524976645917832792863451 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (8) B2: 5,6 B3: 5,6 I1: 2,9 E6: 3,4 H4: 1,7 I4: 3,7 G6: 3,9 I8: 2,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,E2: 1.. / D2 = 1 => 8 pairs (_) / E2 = 1 => 0 pairs (X) H4,H5: 1.. / H4 = 1 => 0 pairs (*) / H5 = 1 => 0 pairs (X) E8,F8: 1.. / E8 = 1 => 8 pairs (_) / F8 = 1 => 0 pairs (X) F4,H4: 1.. / F4 = 1 => 10 pairs (_) / H4 = 1 => 0 pairs (*) D2,D5: 1.. / D2 = 1 => 8 pairs (_) / D5 = 1 => 0 pairs (X) G2,I2: 3.. / G2 = 3 => 10 pairs (_) / I2 = 3 => 0 pairs (*) E5,E6: 3.. / E5 = 3 => 12 pairs (_) / E6 = 3 => 9 pairs (_) A7,B7: 3.. / A7 = 3 => 0 pairs (*) / B7 = 3 => 0 pairs (X) B4,B7: 3.. / B4 = 3 => 0 pairs (*) / B7 = 3 => 0 pairs (X) I2,I4: 3.. / I2 = 3 => 0 pairs (*) / I4 = 3 => 0 pairs (X) B2,B3: 5.. / B2 = 5 => 7 pairs (_) / B3 = 5 => 7 pairs (_) A5,A6: 5.. / A5 = 5 => 10 pairs (_) / A6 = 5 => 10 pairs (_) D9,H9: 5.. / D9 = 5 => 0 pairs (X) / H9 = 5 => 8 pairs (_) B2,B3: 6.. / B2 = 6 => 7 pairs (_) / B3 = 6 => 7 pairs (_) G5,H5: 6.. / G5 = 6 => 9 pairs (_) / H5 = 6 => 0 pairs (X) D6,F6: 7.. / D6 = 7 => 9 pairs (_) / F6 = 7 => 10 pairs (_) H4,I4: 7.. / H4 = 7 => 10 pairs (_) / I4 = 7 => 0 pairs (*) F8,I8: 7.. / F8 = 7 => 0 pairs (*) / I8 = 7 => 0 pairs (X) D6,D7: 7.. / D6 = 7 => 9 pairs (_) / D7 = 7 => 10 pairs (_) H4,H7: 7.. / H4 = 7 => 10 pairs (_) / H7 = 7 => 0 pairs (*) A3,C3: 9.. / A3 = 9 => 9 pairs (_) / C3 = 9 => 0 pairs (*) H1,I1: 9.. / H1 = 9 => 13 pairs (_) / I1 = 9 => 12 pairs (_) A6,G6: 9.. / A6 = 9 => 0 pairs (*) / G6 = 9 => 0 pairs (X) C3,C5: 9.. / C3 = 9 => 0 pairs (*) / C5 = 9 => 0 pairs (X) I1,I7: 9.. / I1 = 9 => 12 pairs (_) / I7 = 9 => 13 pairs (_) * DURATION: 0:00:07.597995 START: 09:24:53.152994 END: 09:25:00.750989 2025-04-06 * CP COUNT: (25) * SOLUTION FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:03.535828 START: 09:25:08.208261 END: 09:25:11.744089 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00058934-base-pr-002.dot * REASONING * PRF # H2: 5,6 # A3: 4,8 => SOL * STA # H2: 5,6 + A3: 4,8 * CNT 1 HDP CHAINS / 13 HYP OPENED
Header Info
rating: 12357; r2: 290588; index: 58934
Solution
position: 123456789457189263869372145234698517578231694916745328381524976645917832792863451 solved
See section Deep Pair Reduction for the HDP chains leading to this result.
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # H2: 5,6 => UNS * INC # I2: 5,6 => UNS * INC # H3: 5,6 => UNS * INC # I3: 5,6 => UNS * INC # I7: 2,9 => UNS * INC # I7: 5,6,7 => UNS * INC # A6: 3,4 => UNS * INC # A6: 5,9 => UNS * DIS # G5: 3,9 => CTR => G5: 6 * INC # G5: 6 => UNS * INC # A6: 3,9 => UNS * INC # A6: 4,5 => UNS * DIS # I7: 2,7 => CTR => I7: 5,6,9 * INC # I7: 5,6,9 => UNS * INC # F8: 2,7 => UNS * INC # F8: 1,4,8 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H2: 5,6 => UNS * INC # I2: 5,6 => UNS * INC # H3: 5,6 => UNS * INC # I3: 5,6 => UNS * INC # I7: 2,9 => UNS * INC # I7: 5,6,7 => UNS * INC # A6: 3,4 => UNS * INC # A6: 5,9 => UNS * DIS # G5: 3,9 => CTR => G5: 6 * INC G5: 6 # A6: 3,9 => UNS * INC G5: 6 # A6: 4,5 => UNS * DIS G5: 6 # I7: 2,7 => CTR => I7: 5,6,9 * INC G5: 6 + I7: 5,6,9 # F8: 2,7 => UNS * INC G5: 6 + I7: 5,6,9 # F8: 1,4,8 => UNS * INC G5: 6 + I7: 5,6,9 # H2: 5,6 => UNS * INC G5: 6 + I7: 5,6,9 # I2: 5,6 => UNS * INC G5: 6 + I7: 5,6,9 # H3: 5,6 => UNS * INC G5: 6 + I7: 5,6,9 # I3: 5,6 => UNS * INC G5: 6 + I7: 5,6,9 # A6: 3,4 => UNS * INC G5: 6 + I7: 5,6,9 # A6: 5,9 => UNS * INC G5: 6 + I7: 5,6,9 # A6: 3,9 => UNS * INC G5: 6 + I7: 5,6,9 # A6: 4,5 => UNS * INC G5: 6 + I7: 5,6,9 # F8: 2,7 => UNS * INC G5: 6 + I7: 5,6,9 # F8: 1,4,8 => UNS * STA G5: 6 + I7: 5,6,9 * CNT 24 HDP CHAINS / 24 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # H2: 5,6 => UNS * INC # I2: 5,6 => UNS * INC # H3: 5,6 => UNS * INC # I3: 5,6 => UNS * INC # A6: 3,4 => UNS * INC # A6: 5,9 => UNS * INC # A6: 3,9 => UNS * INC # A6: 4,5 => UNS * INC # F8: 2,7 => UNS * INC # F8: 1,4,8 => UNS * INC # H2: 5,6 # B1: 4,8 => UNS * PRF # H2: 5,6 # A3: 4,8 => SOL * STA # H2: 5,6 + A3: 4,8 * CNT 12 HDP CHAINS / 13 HYP OPENED